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Finding the Fourth Proportional to 270.56, 407.46 and 227.50

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Solution

The fourth proportional to 270.56, 407.46 and 227.50 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 407.46 = 227.50 : x
  2. Step 2: Convert to fraction form
    270.56/407.46 = 227.50/x
  3. Step 3: Cross multiply
    270.56x = 407.46 × 227.50
  4. Step 4: Simplify right side
    270.56x = 92,696.14
  5. Step 5: Solve for x
    x = 92,696.14/270.56
  6. Step 6: Final answer
    x = 342.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.